Note1: This device was sold by Myer stores (formerly Grace Bros) in Australia in 2010-2011. One of those re-branded China-made devices.
There are some reasons to believe that it is very similar to Telefunken TEL002 PVR, but this is not 100%.

Note2: Both Prima and Prima Electronics are listed in the lookup tool, and the LUT search brings up some protocols/codes for TVs and DVDs by Prima. Obviously intending to try those, just wondering if there are any other suggestions before I go and do that.

I guess, if there is someone here from Oz who owns(ed) this device and can work out protocol/codes, that'd be a quickest way.
Also, I am prepared to travel anywhere to Sydney metro area with my learning remote if you have an original remote for the subj and could let me to learn the main codes (would take literally 5 min).

When you say "installed on my Harmony remote" - where did you install it from? What is the source of that config? Are you sure that all the buttons of the original remote are present in that Harmony config?

The reason I am asking is that I don't have a User Manual for the device (can't Google it out either), and now (with the Upgrade you posted) can not find the way of playing back the recorded files, which made me think that maybe few buttons (like "Playback menu") are missing from that upgrade.
I can not tell as I don't know what exactly the buttons are on the original remote.

The Harmony remote uses the Logitech database to download the IR codes and then 'mimic' the original remote. But that database is produced by users uploading the values so it is quite possible a function is missing.

I've checked again and the only unction I didn't bother mapping was 'Teletext'. I guess you are looking for a function called 'PVR', 'List', 'Library'.... ?

However, seeing your comment in your OP that the Telefunken box might be similar so I tried that one. And you are right, all the codes are identical, but the good news is that there are about 12 additional functions defined, including 'Program', 'Media' & 'Device', so hopefully one of those is what you need.

Sorry Alan, I can not install it because I don't have Slingbox, and the ZIP file only contains two 65-byte long binary files (apart from readme).
This goes beyond my JP1 expertise - I only have 8811's and 8910's remote controls, and I don't know what to do with those BIN files you posted.

If you could somehow convert those into RMDU file as you did for Prima PVRHD1TB, that'd be great.

Or if I am missing your point all together, please guide me through, thanks.